solve the quadratic equation 3xsquare -8x-3=0
Answers
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Answer:
3x^2-8x-3=0
3x^2-9x+x-3=0 (here quadratic so 3x^2*3=9x^2)
3x(x-3)+1(x-3)=0
3x+1=0
x-3=0 here x=-1/3 or 3
Step-by-step explanation:
Answered by
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Given :-
3x² - 8x - 3 = 0
We can solve these type of equations using splitting the middle term method.
Steps to follow for splitting the middle term :-
- Multiply the coefficient of the first and last term.
- Find the pairs of multiples.
- Choose one pair which makes the coefficient of the middle term either by addition or subtraction. use trial and error method.
Here, 3 × 3 = 9
Also 9 × 1 = 9 and 9 - 1 = 8 (coefficient of the middle term)
➡ 3x² - (9x - x) - 3 = 0
➡ 3x² - 9x + x - 3 = 0
➡ 3x(x - 3) + (x - 3) = 0
➡ (x - 3) (3x + 1) Final answer
If you further want to find it's zeroes, then simply equate both the factors by 0.
x = 3 or x = -1/3
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